Fluency with exponents and their inverse, logarithms, is a critical skill for solving a specific but important set of questions on the CAT. This guided path will teach you the fundamental rules and the application strategies needed to manipulate and simplify these complex expressions.
Start with the core definitions, including positive, negative, zero, and fractional exponents. Build an intuitive understanding with our interactive explorer.
$$a^n$$ means multiplying 'a' by itself 'n' times.
Master the essential rules for manipulating exponents, such as the product, quotient, and power rules, which are the foundation for understanding logarithms.
Build an intuitive understanding of what a logarithm represents by visually translating between exponential and logarithmic forms.
Logarithm is the inverse of an Exponent.
Learn the three essential log properties (Product, Quotient, and Power rules) and practice applying them to simplify complex expressions.
A dedicated question set for Logarithms & Exponents is currently being authored. In the meantime, test your baseline score on the full Diagnostic:
Don't just solve questions sequentially. Learn the error log method and how to use the OG for maximum score gains.
Stop calculating! Learn how to use the properties of symmetry to solve hard SD questions in seconds.
Stop calculating sums! Learn the 'Average of First & Last' rule to solve Arithmetic Progression (AP) problems in seconds.